RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

Naihong Hu; Naihuan Jing; Xin Zhong

doi:10.1063/5.0229568

RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

Naihong Hu
, Naihuan Jing
, Xin Zhong^*

^*此作品的通讯作者

数学科学学院

North Carolina State University
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this paper we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra U p , q ( g l ̂ ( m | n ) ) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

源语言	英语
文章编号	123501
期刊	Journal of Mathematical Physics
卷	65
期	12
DOI	https://doi.org/10.1063/5.0229568
出版状态	已出版 - 1 12月 2024

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N2 - In this paper we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra U p , q ( g l ̂ ( m | n ) ) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

AB - In this paper we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra U p , q ( g l ̂ ( m | n ) ) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

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RLL-realization and its Hopf superalgebra structure of U p , q ( g l ̂ ( m | n ) )

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